411013200 has 120 divisors (see below), whose sum is σ = 1417943968. Its totient is φ = 101168640.

The previous prime is 411013193. The next prime is 411013231. The reversal of 411013200 is 2310114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2427 + ... + 28773.

Almost surely, 2^411013200 is an apocalyptic number.

411013200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708971984).

411013200 is an abundant number, since it is smaller than the sum of its proper divisors (1006930768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411013200 is a wasteful number, since it uses less digits than its factorization.

411013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26381 (or 26370 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 411013200 is about 20273.4604840910. The cubic root of 411013200 is about 743.5073336804.

Adding to 411013200 its reverse (2310114), we get a palindrome (413323314).

The spelling of 411013200 in words is "four hundred eleven million, thirteen thousand, two hundred".